Fireman Frank has 200 shoes. If he gets 5 pairs of shoes on Monday and gains 15 new pairs on Wednesday and 30 pairs on Friday, how many shoes will he have on Sunday if he gets rid of 180 shoes on Saturday?
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Step-by-Step Solution
Step 1: Calculate total shoes from new pairs
First, we convert the 'pairs of shoes' into individual shoes. Each pair consists of 2 shoes. So, we multiply the number of pairs received on Monday, Wednesday, and Friday by 2 to find the total number of individual shoes gained.
Step 2: Perform the calculation for new shoes
We perform the multiplication for each day and then sum them up: 5×2=10 shoes, 15×2=30 shoes, and 30×2=60 shoes. Adding these gives a total of 10+30+60=100 new shoes.
Step 3: Calculate total shoes before Saturday
Next, we add the initial number of shoes Fireman Frank had to the total number of new shoes he gained throughout the week (Monday, Wednesday, and Friday) to find out how many shoes he possessed before Saturday.
Step 4: Perform the calculation for shoes before Saturday
Starting with 200 shoes and gaining 100 new shoes, Fireman Frank has a total of 200+100=300 shoes before getting rid of any on Saturday.
Step 5: Calculate shoes remaining after Saturday
Finally, to find out how many shoes Fireman Frank will have on Sunday, we subtract the number of shoes he got rid of on Saturday from the total number of shoes he had before Saturday.
Step 6: Perform the final calculation
After having 300 shoes and getting rid of 180 shoes on Saturday, Fireman Frank will have 300−180=120 shoes remaining on Sunday.